Alvarez threatened Messi after thinking the Argentina star had intentionally kicked a Mexico jersey on the floor of the locker room.
Wahbi Khazri's second-half goal gave the Africans a famous win over the defending champions, although it was not enough to secure their place in the knockout stages. France thought they had snatched a dramatic draw in the last minute of eight added on for stoppages when substitute Antoine Griezmann lashed the ball home. Deschamps made nine changes to the side which had already qualified from Group D with Griezmann, Kylian Mbappe and Ousmane Dembele all starting on the bench.
Mexico must defeat Saudi Arabia to keep their hopes of a place in the last-16 alive